A remark on ground state solutions for Lane-Emden-Fowler equations with a convection term
| dc.contributor.author | Xue, Hongtao | |
| dc.contributor.author | Zhang, Zhijun | |
| dc.date.accessioned | 2021-08-05T17:46:01Z | |
| dc.date.available | 2021-08-05T17:46:01Z | |
| dc.date.issued | 2007-04-10 | |
| dc.description.abstract | Via a sub-supersolution method and a perturbation argument, we study the Lane-Emden-Fowler equation -Δu = p(x) [g(u) + ƒ(u) + |∇u|q] in ℝN (N ≥ 3), where 0 < q < 1, p is a positive weight such that ∫∞0 rφ(r)dr < ƒ are sublinear, which include no monotonicity on the functions g(u), ƒ(u), g(u)/u and ƒ(u)/u, we show the existence of ground state solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Xue, H., & Zhang, Z. (2007). A remark on ground state solutions for Lane-Emden-Fowler equations with a convection term. <i>Electronic Journal of Differential Equations, 2007</i>(53), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14214 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Ground state solution | |
| dc.subject | Lane-Emden-Fowler equation | |
| dc.subject | Convection term | |
| dc.subject | Maximum principle | |
| dc.subject | Existence | |
| dc.subject | Sub-solution | |
| dc.subject | Super-solution | |
| dc.title | A remark on ground state solutions for Lane-Emden-Fowler equations with a convection term | |
| dc.type | Article |